Time bar (total: 9.6s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.8% | 0.2% | 0 |
| 0% | 99.8% | 0.2% | 1 |
| 0% | 99.8% | 0.2% | 2 |
| 0% | 99.8% | 0.2% | 3 |
| 0% | 99.8% | 0.2% | 4 |
| 0% | 99.8% | 0.2% | 5 |
| 0% | 99.8% | 0.2% | 6 |
| 0% | 99.8% | 0.2% | 7 |
| 0% | 99.8% | 0.2% | 8 |
| 0% | 99.8% | 0.2% | 9 |
| 1.6% | 98.2% | 0.2% | 10 |
| 3.1% | 90.4% | 6.5% | 11 |
| 9.2% | 84.4% | 6.5% | 12 |
| 13% | 80.6% | 6.5% | 13 |
| 24.8% | 68.7% | 6.5% | 14 |
Compiled 20 to 13 computations (35% saved)
(sort x y)
(sort t a)
| 1.2s | 8256× | body | 128 | valid |
| 417.0ms | 3187× | body | 128 | invalid |
Compiled 59 to 38 computations (35.6% saved)
| 1× | egg-herbie |
| 1034× | fma-def_binary64 |
| 336× | fma-neg_binary64 |
| 138× | distribute-rgt-in_binary64 |
| 130× | cancel-sign-sub-inv_binary64 |
| 128× | associate-/r/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 21 |
| 1 | 26 | 21 |
| 2 | 52 | 21 |
| 3 | 87 | 21 |
| 4 | 128 | 21 |
| 5 | 161 | 21 |
| 6 | 203 | 21 |
| 7 | 247 | 21 |
| 8 | 464 | 21 |
| 9 | 822 | 21 |
| 10 | 1234 | 21 |
| 11 | 1169 | 21 |
| 12 | 1237 | 21 |
| 13 | 1311 | 21 |
| 14 | 1375 | 21 |
| 15 | 1375 | 21 |
| 16 | 1282 | 21 |
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 1 | 1 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 2 | 2 |
| Status | Error | Program |
| ▶ | 25.1b | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
Compiled 57 to 36 computations (36.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
| ✓ | 0.4b | (-.f64 (*.f64 z z) (*.f64 t a)) |
| ✓ | 6.3b | (*.f64 (*.f64 x y) z) |
| ✓ | 9.2b | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
| ✓ | 24.4b | (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) |
4 calls:
| 202.0ms | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
| 37.0ms | (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) |
| 37.0ms | (-.f64 (*.f64 z z) (*.f64 t a)) |
| 8.0ms | (*.f64 (*.f64 x y) z) |
| 1× | rewrite-expression-head |
| 18× | add-cbrt-cube_binary64 |
| 18× | add-exp-log_binary64 |
| 11× | add-sqr-sqrt_binary64 |
| 10× | *-un-lft-identity_binary64 |
| 10× | add-cube-cbrt_binary64 |
4 calls:
| 7.0ms | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) |
| 4.0ms | (*.f64 (*.f64 x y) z) |
| 3.0ms | (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) |
| 2.0ms | (-.f64 (*.f64 z z) (*.f64 t a)) |
| 1× | egg-herbie |
| 731× | fma-def_binary64 |
| 379× | times-frac_binary64 |
| 318× | associate-*r*_binary64 |
| 293× | associate-*l*_binary64 |
| 277× | associate-/l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 283 | 4463 |
| 1 | 842 | 4196 |
| 2 | 3899 | 4138 |
| 3 | 4961 | 4138 |
| 4 | 4976 | 4138 |
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 181 | 9 | 190 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 182 | 9 | 191 |
| Status | Error | Program |
| ▶ | 23.1b | (*.f64 (*.f64 y x) (/.f64 z (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z))) |
| 24.5b | (*.f64 (/.f64 (*.f64 y x) (sqrt.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z))) (/.f64 z (sqrt.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z)))) | |
| 37.4b | (neg.f64 (*.f64 y x)) | |
| 36.4b | (*.f64 y x) | |
| 45.7b | (*.f64 y (*.f64 (sqrt.f64 (/.f64 -1 (*.f64 a t))) (*.f64 z x))) | |
| 25.7b | (*.f64 (*.f64 y (*.f64 z x)) (sqrt.f64 (/.f64 1 (-.f64 (pow.f64 z 2) (*.f64 a t))))) | |
| 25.4b | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (*.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) (cbrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) (cbrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))))) | |
| 38.7b | (/.f64 (*.f64 (*.f64 x y) z) z) | |
| 31.2b | (/.f64 1 (/.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z) (*.f64 y (*.f64 z x)))) |
Compiled 5048 to 1533 computations (69.6% saved)
Found 3 expressions with local error:
| New | Error | Program |
| ✓ | 0.1b | (/.f64 z (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z)) |
| ✓ | 3.1b | (*.f64 (*.f64 y x) (/.f64 z (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z))) |
| ✓ | 12.2b | (sqrt.f64 (neg.f64 (*.f64 a t))) |
3 calls:
| 485.0ms | (*.f64 (*.f64 y x) (/.f64 z (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z))) |
| 212.0ms | (/.f64 z (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z)) |
| 18.0ms | (sqrt.f64 (neg.f64 (*.f64 a t))) |
| 1× | rewrite-expression-head |
| 20× | add-sqr-sqrt_binary64 |
| 19× | *-un-lft-identity_binary64 |
| 19× | add-cube-cbrt_binary64 |
| 18× | times-frac_binary64 |
| 17× | add-cbrt-cube_binary64 |
3 calls:
| 5.0ms | (*.f64 (*.f64 y x) (/.f64 z (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z))) |
| 2.0ms | (/.f64 z (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z)) |
| 1.0ms | (sqrt.f64 (neg.f64 (*.f64 a t))) |
| 1× | egg-herbie |
| 805× | associate-/r*_binary64 |
| 302× | associate-/r/_binary64 |
| 296× | fma-def_binary64 |
| 227× | cancel-sign-sub-inv_binary64 |
| 215× | associate-*l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 239 | 3606 |
| 1 | 602 | 3111 |
| 2 | 2307 | 3085 |
| 3 | 5526 | 3085 |
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 135 | 2 | 137 |
| Fresh | 3 | 5 | 8 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 138 | 8 | 146 |
| Status | Error | Program |
| 31.2b | (/.f64 1 (/.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z) (*.f64 y (*.f64 z x)))) | |
| 23.5b | (*.f64 (*.f64 y x) (/.f64 z (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 t))) z))) | |
| ✓ | 23.1b | (*.f64 (*.f64 y x) (/.f64 z (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z))) |
| 37.4b | (neg.f64 (*.f64 y x)) | |
| 36.4b | (*.f64 y x) | |
| 25.7b | (*.f64 (*.f64 y (*.f64 z x)) (sqrt.f64 (/.f64 1 (-.f64 (pow.f64 z 2) (*.f64 a t))))) | |
| ▶ | 23.3b | (*.f64 y (*.f64 x (/.f64 z (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z)))) |
| 25.4b | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (*.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) (cbrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) (cbrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))))) |
Compiled 3786 to 1181 computations (68.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
| 0.1b | (/.f64 z (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z)) | |
| ✓ | 1.1b | (*.f64 x (/.f64 z (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z))) |
| ✓ | 3.0b | (*.f64 y (*.f64 x (/.f64 z (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z)))) |
| 12.2b | (sqrt.f64 (neg.f64 (*.f64 a t))) |
2 calls:
| 524.0ms | (*.f64 y (*.f64 x (/.f64 z (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z)))) |
| 321.0ms | (*.f64 x (/.f64 z (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z))) |
| 1× | rewrite-expression-head |
| 16× | add-sqr-sqrt_binary64 |
| 16× | add-cbrt-cube_binary64 |
| 16× | add-exp-log_binary64 |
| 14× | associate-*r*_binary64 |
| 11× | *-un-lft-identity_binary64 |
2 calls:
| 5.0ms | (*.f64 x (/.f64 z (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z))) |
| 5.0ms | (*.f64 y (*.f64 x (/.f64 z (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z)))) |
| 1× | egg-herbie |
| 830× | associate-/r*_binary64 |
| 362× | associate-/r/_binary64 |
| 354× | fma-def_binary64 |
| 261× | cancel-sign-sub-inv_binary64 |
| 230× | associate-*r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 234 | 3901 |
| 1 | 624 | 3028 |
| 2 | 2396 | 2984 |
| 3 | 5705 | 2984 |
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 185 | 1 | 186 |
| Fresh | 0 | 6 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 0 | 1 |
| Total | 186 | 8 | 194 |
| Status | Error | Program |
| 24.1b | (*.f64 y (*.f64 x (/.f64 z (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 t))) z)))) | |
| ✓ | 23.3b | (*.f64 y (*.f64 x (/.f64 z (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z)))) |
| 31.2b | (/.f64 1 (/.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z) (*.f64 y (*.f64 z x)))) | |
| ▶ | 23.5b | (*.f64 (*.f64 y x) (/.f64 z (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 t))) z))) |
| 37.4b | (neg.f64 (*.f64 y x)) | |
| 36.4b | (*.f64 y x) | |
| 25.7b | (*.f64 (*.f64 y (*.f64 z x)) (sqrt.f64 (/.f64 1 (-.f64 (pow.f64 z 2) (*.f64 a t))))) | |
| 25.4b | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (*.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) (cbrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) (cbrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))))) |
Compiled 5095 to 1705 computations (66.5% saved)
Found 3 expressions with local error:
| New | Error | Program |
| ✓ | 0.1b | (/.f64 z (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 t))) z)) |
| ✓ | 0.2b | (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 t))) |
| ✓ | 3.1b | (*.f64 (*.f64 y x) (/.f64 z (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 t))) z))) |
3 calls:
| 466.0ms | (*.f64 (*.f64 y x) (/.f64 z (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 t))) z))) |
| 206.0ms | (/.f64 z (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 t))) z)) |
| 18.0ms | (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 t))) |
| 1× | rewrite-expression-head |
| 34× | add-sqr-sqrt_binary64 |
| 26× | associate-*r*_binary64 |
| 24× | *-un-lft-identity_binary64 |
| 24× | add-cube-cbrt_binary64 |
| 19× | add-cbrt-cube_binary64 |
3 calls:
| 7.0ms | (*.f64 (*.f64 y x) (/.f64 z (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 t))) z))) |
| 6.0ms | (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 t))) |
| 2.0ms | (/.f64 z (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 t))) z)) |
| 1× | egg-herbie |
| 591× | fma-def_binary64 |
| 335× | associate-*l*_binary64 |
| 305× | associate-*r*_binary64 |
| 256× | cancel-sign-sub-inv_binary64 |
| 241× | fma-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 300 | 4247 |
| 1 | 798 | 3882 |
| 2 | 2959 | 3690 |
| 3 | 4559 | 3690 |
| 4 | 4977 | 3690 |
| 5 | 5000 | 3690 |
| 6 | 4936 | 3690 |
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 203 | 2 | 205 |
| Fresh | 0 | 6 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 0 | 1 |
| Total | 204 | 9 | 213 |
| Status | Error | Program |
| 42.0b | (*.f64 (/.f64 (*.f64 y (*.f64 z x)) (sqrt.f64 (neg.f64 t))) (sqrt.f64 (/.f64 1 a))) | |
| ✓ | 23.5b | (*.f64 (*.f64 y x) (/.f64 z (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 t))) z))) |
| 31.2b | (/.f64 1 (/.f64 (hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a t))) z) (*.f64 y (*.f64 z x)))) | |
| 23.6b | (*.f64 (*.f64 y x) (/.f64 z (hypot.f64 (*.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (sqrt.f64 (neg.f64 t)))) (sqrt.f64 (sqrt.f64 (neg.f64 t)))) z))) | |
| 37.4b | (neg.f64 (*.f64 y x)) | |
| 36.4b | (*.f64 y x) | |
| 25.7b | (*.f64 (*.f64 y (*.f64 z x)) (sqrt.f64 (/.f64 1 (-.f64 (pow.f64 z 2) (*.f64 a t))))) | |
| 24.1b | (*.f64 y (*.f64 x (/.f64 z (hypot.f64 (*.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 t))) z)))) | |
| 25.4b | (/.f64 (*.f64 (*.f64 x y) z) (sqrt.f64 (*.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 z z) (*.f64 t a))) (cbrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))) (cbrt.f64 (-.f64 (*.f64 z z) (*.f64 t a)))))) |
Compiled 5543 to 1688 computations (69.5% saved)
Total 4.2b remaining (66.6%)
Threshold costs 0b (0%)
Compiled 19885 to 11537 computations (42% saved)
| Iters | Range | Point | |
|---|---|---|---|
| 8 | 1.2931480003165196e+27 | 1.9589842908440882e+31 | 1.216315346182611e+31 |
| 8 | 1.251225119420865e-139 | 5.743366612777225e-137 | 3.916159283675478e-139 |
| 6 | -5.764931901109984e-203 | -8.444854958642352e-204 | -5.653067374710907e-203 |
| 6 | -3.5348758200678786e+155 | -4.9301349217216476e+154 | -4.988987613997654e+154 |
Compiled 6 to 5 computations (16.7% saved)
| 1× | egg-herbie |
| 14× | *-commutative_binary64 |
| 8× | +-commutative_binary64 |
| 8× | sub-neg_binary64 |
| 6× | neg-sub0_binary64 |
| 6× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 111 |
| 1 | 73 | 111 |
| 2 | 90 | 111 |
| 3 | 100 | 111 |
| 4 | 104 | 111 |
| 5 | 102 | 111 |
(sort t a)
(sort x y)
Compiled 646 to 364 computations (43.7% saved)
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